3426522000 has 320 divisors, whose sum is σ = 12158864640. Its totient is φ = 823296000.

The previous prime is 3426521971. The next prime is 3426522007. The reversal of 3426522000 is 2256243.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3426522007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12737866 + ... + 12738134.

It is an arithmetic number, because the mean of its divisors is an integer number (37996452).

Almost surely, 2^3426522000 is an apocalyptic number.

3426522000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3426522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6079432320).

3426522000 is an abundant number, since it is smaller than the sum of its proper divisors (8732342640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3426522000 is a wasteful number, since it uses less digits than its factorization.

3426522000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3426522000 is about 58536.5014328667. The cubic root of 3426522000 is about 1507.5943743189.

Adding to 3426522000 its reverse (2256243), we get a palindrome (3428778243).

It can be divided in two parts, 34265 and 22000, that added together give a palindrome (56265).

The spelling of 3426522000 in words is "three billion, four hundred twenty-six million, five hundred twenty-two thousand".